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Automated Symbolic and Numerical Testing of DLMF Formulae using Computer Algebra Systems

Published

Author(s)

Howard S. Cohl, Moritz Schubotz, Andre Greiner Petter

Abstract

We have developed an automated procedure for symbolic and numerical testing of formu- lae extracted from the NIST Digital Library of Mathematical Functions (DLMF). For the NIST Digital Repository of Mathematical Formulae, we have developed conversion tools from semantic L A TEX to the Computer Algebra System (CAS) MAPLE which relies on Youssef’s part-of-math tagger. We convert a test data subset of 4,078 semantic L A TEX DLMF formulae extracted from the DLMF to the native CAS representation and then apply an automated scheme for symbolic and numerical testing and verification. Our framework is implemented using Java and MAPLE. We describe in detail the conversion process which is required so that the CAS is able to correctly interpret the mathematical representation of the formulae. We describe the improvement of the effectiveness of our automated scheme through incremental enhancement (making more precise) of the mathematical semantic markup for the formulae.
Proceedings Title
Lecture Notes in Computer Science; Intelligent Computer Mathematics
Volume
11006
Conference Dates
August 13-17, 2018
Conference Location
Hagenberg
Conference Title
11th Conference on Intelligent Computer Mathematics

Keywords

Computer Algebra Systems, Mathematical Knowledge Management

Citation

Cohl, H. , Schubotz, M. and Greiner, A. (2018), Automated Symbolic and Numerical Testing of DLMF Formulae using Computer Algebra Systems, Lecture Notes in Computer Science; Intelligent Computer Mathematics, Hagenberg, -1, [online], https://doi.org/10.1007/978-3-319-96812-4_4 (Accessed April 18, 2024)
Created July 17, 2018, Updated May 4, 2021